Abstract

We show that there is no upper bound for the number of $2\pi$ periodic solutions of the complex Abel Equation, $dz/dt=z3+B(t)z2+C(t)z$ where $B$ and $C$ are smooth $2\pi$ periodic complex valuated functions $t\in R$ and $z\in C$.

This is a joint work together with Anna Cima and Armengol Gasull (UAB).